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We consider exact and averaged control problem for a system of quasi-linear ODEs and SDEs with a non-negative definite symmetric matrix of the system. The strategy of the proof is the standard linearization of the system by fixing the…

Optimization and Control · Mathematics 2021-06-15 Jasmina Djordjevic , Sanja Konjik , Darko Mitrović , Andrej Novak

Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies the properties of the maximal sets of approximate controllability.

Dynamical Systems · Mathematics 2016-02-18 Adriano Da Silva , Victor Ayala , Guilherme Zsigmond

Safety filters in control systems correct nominal controls that violate safety constraints. Designing such filters as functions of visual observations in uncertain and complex environments is challenging. Several deep learning-based…

Machine Learning · Computer Science 2024-12-04 Ihab Tabbara , Hussein Sibai

Bilinear systems emerge in a wide variety of fields as natural models for dynamical systems ranging from robotics to quantum dots. Analyzing controllability of such systems is of fundamental and practical importance, for example, for the…

Optimization and Control · Mathematics 2019-08-14 Wei Zhang , Jr-Shin Li

In this paper, we propose a novel probabilistic control framework for efficiently controlling an ensemble of quantum systems that can also compensate for the interaction of the systems with the external environment. The main challenge in…

Quantum Physics · Physics 2023-09-08 Randa Herzallah , Abdessamad Belfakir

In this paper, we consider the problem of steering a family of independent, structurally identical, finite-dimensional stochastic linear systems with variation in system parameters between initial and target states of interest by using an…

Optimization and Control · Mathematics 2012-01-10 Ji Qi , Anatoly Zlotnik , Jr-Shin Li

This paper deals with strong structural controllability of linear systems. In contrast to existing work, the structured systems studied in this paper have a so-called zero/nonzero/arbitrary structure, which means that some of the entries…

Optimization and Control · Mathematics 2019-03-11 Jiajia Jia , Henk J. van Waarde , Harry L. Trentelman , M. Kanat Camlibel

One of the most promising approaches for complex technical systems analysis employs ensemble methods of classification. Ensemble methods enable to build a reliable decision rules for feature space classification in the presence of many…

Artificial Intelligence · Computer Science 2016-01-11 Alexei Zhukov , Victor Kurbatsky , Nikita Tomin , Denis Sidorov , Daniil Panasetsky , Aoife Foley

This paper presents a model predictive control (MPC) framework leveraging an ensemble of data-based models to optimally control complex systems under multiple operating conditions. A novel combination rule for ensemble models is proposed,…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Laura Boca de Giuli , Samuel Mallick , Alessio La Bella , Azita Dabiri , Bart De Schutter , Riccardo Scattolini

Ensemble learning is traditionally justified as a variance-reduction strategy, explaining its strong performance for unstable predictors such as decision trees. This explanation, however, does not account for ensembles constructed from…

Machine Learning · Statistics 2025-12-30 Ernest Fokoué

We introduce in the paper a novel observability problem for a continuum ensemble of nonholonomic control systems with unknown population density. We address the problem by focussing on a prototype of such ensemble system, namely, the…

Systems and Control · Computer Science 2020-05-01 Xudong Chen

We propose to study unitary matrix ensembles defined in terms of unitary stochastic transition matrices associated with Markov processes on graphs. We argue that the spectral statistics of such an ensemble (after ensemble averaging) depends…

Chaotic Dynamics · Physics 2009-11-07 Gregor Tanner

Quantum chaotic systems with one-dimensional spectra follow spectral correlations of orthogonal (OE), unitary (UE), or symplectic ensembles (SE) of random matrices depending on their invariance under time reversal and rotation. In this…

Quantum Physics · Physics 2024-01-09 Jisha C , Ravi Prakash

The trajectory tracking problem is a fundamental control task in the study of mechanical systems. A key construction in tracking control is the error or difference between an actual and desired trajectory. This construction also lies at the…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Matthew Hampsey , Pieter van Goor , Ravi Banavar , Robert Mahony

A memory efficient approach to ensembling neural networks is to share most weights among the ensembled models by means of a single reference network. We refer to this strategy as Embedded Ensembling (EE); its particular examples are…

Machine Learning · Statistics 2022-02-25 Maksim Velikanov , Roman Kail , Ivan Anokhin , Roman Vashurin , Maxim Panov , Alexey Zaytsev , Dmitry Yarotsky

This paper is concerned with linear parameter-dependent systems and considers the notion uniform ensemble reachability. The focus of this work is on constructive methods to compute suitable parameter-independent open-loop inputs for such…

Optimization and Control · Mathematics 2023-06-16 Michael Schönlein

The purpose of this paper is to present a universal approach to the study of controllability/observability problems for infinite dimensional systems governed by some stochastic/deterministic partial differential equations. The crucial…

Optimization and Control · Mathematics 2010-03-31 Xu Zhang

We propose globally exponentially convergent continuous observers for invariant kinematic systems on finite-dimensional matrix Lie groups. Such an observer estimates, from measurements of landmarks, vectors and biased velocity, both the…

Optimization and Control · Mathematics 2019-09-24 Dong Eui Chang

In this paper we propose a new observability property for nonautonomous linear control systems in finite dimension: the nonuniform complete observability, which is more general than the uniform complete observability. A dual relationship is…

Optimization and Control · Mathematics 2025-08-14 Ignacio Huerta , Pablo Monzón

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

Optimization and Control · Mathematics 2012-05-04 W. H. T. M. Aangenent , W. P. M. H. Heemels , M. J. G. Van De Molengraft , Didier Henrion , Maarten Steinbuch